For the following collection of sets, define a set An for each n an element of N such that the indexed collection {An}n an element of N is precisely the given collection of sets. Then find both the union and intersection of the indexed collection of sets. {(-1, 2), (-3/2, 4), (-5/3, 6), (-7/4, 8), . . .}

Q: this question and subsequently, let a₁, A2,..., a5 denote these numbers: 2,2,1,7,3 Let X denote the…

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Q: (b) Let={A i EN} be a family of sets with A₁ CA₂ CCA10 C... Prove that nA = A₁.

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.